Mack Aroni, a bank robber, is worried about his retirement. He decides to start a savings account. Mack deposits annually his net share of the “loot,” which consists of $75,000 per year, for 3 years beginning January 1, 2000. Mack is arrested on January 4, 2002, (after making his third deposit) and spends the rest of 2002 and most of 2003 in jail. He escapes in September of 2003. He resumes his savings plan with semiannual deposits of $30,000, the first one being made on January 1, 2004. Assume that the bank’s interest rate was 9% compounded annually from January 1, 2000 through January 1, 2003, and 12 % annual rate compounded semiannually thereafter.When Mack retires on January 1, 2007 (6 months after his last deposit), what is the balance in his savings account?

 

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machines/wine

france: 3/1

germany: 1/1

The accompanying table shows the output (either machines or wine) that each unit of input in France and Germany can produce. We see that

France has an absolute advantage over Germany in producing either output.

Germany has an absolute disadvantage in producing wine.

Germany has no absolute advantage over France in producing either output.

France will see no economic basis for trading with Germany.

 

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MAGIC 8 BALL: This program will ask the user to enter a yes/no question and it will then print out an appropriate yes or no response. Hint: You will have to read in the question into a string variable, but you don’t really need it. Your program will generate a random number from 0 to 7 (depends on how many responses you want to have in your program) and it will print out a response based on the random number.( in c++ programming)

1.promptuser()

a.Does not return a value

b.Does not have arguments

c.This function will prompt the user (print out a message asking for a yes or no question). The function will read in the question into a string variable (even though we don’t need it later).

2.getrandom()

a.Returns an integer which is the random number to be used

b.Does not have arguments

c.This function will generate a random number from 0 to 7 (depends on how many responses you have – see below). The function will return the random number back to the main body.

3.Printresponse()

a.Does not return a value

b.It does have 1 argument, the random number. Based on this number the function will print out an appropriate response.

c.Use a switch statement and depending on what the random number is, print out a message. For example, if the random number

i.is 0, print out “No way!”.

ii.is 1, print out “Unfortunately … yes!”

iii.is 2, print out “YASSSS!”

vi.is 3, print out “I wish I could say yes…”

v.is 4, print out “Of course not!”

 

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First, for the company that you will report on in the written assignment later this module, describe its competitive strategy. Second, for a company you would like to start, share what the company would be and which competitive strategy you would select.

 

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MAE 9: Quiz #3, Fall 2010Due on Wednesday, November 3rd by 21:00pm(Turnin only on Wednesday) In this quiz you will compute a two-dimensional integral by using a simplistic version of the Monte Carlo Method. This method relies on random numbers to evaluate integrals and is the method of choice for numerical integration on higher dimensions (consult your favorite Wall Street investment bank). We want to integrate the area of a circle in the plane. The circle is centered at (xc, yc) and has radius r. We will limit our search to the box delimited by the points (0,0) and (4,4). Technically we will compute the area of the intersection of the circle with this box. Consider the function:/ 1, if distance between (x,y) and (xc,yc) is less or equal than rif distance between (x,y) and (xc,yc) is greater than r The area of the intersection of the circle with the box is the double integral: area = int_{0}^{4} int_{0}^{4} ind(x, y) dx dy Our simple Monte Carlo method will compute an approximation to the above integral by drawing N uniformly distributed random points in the box (xi, yi) and computing the sum area = (16/N) * sum_{i = 1}^{N} ind(xi, yi) Write a C program (quiz3.c) that: a) Reads the double values ofxc, yc and r (circle parameters)and the integer value ofN (number of points)from the terminal by using scanf; b) If N <= 0 set N = 1000 and issue a warning message to the user; c) If r <= 0 set r = 1 and issue a warning message to the user; d) Use a for loop to generate N uniformly distributed random pointsin the box (0,0)-(4,4) and compute the approximate integral asdiscussed above; e) Print the result of the approximate integral. HINTS: The function rand() generates a uniformly distributed pseudo-random integer between 0 and RAND_MAX. Use this function and RAND_MAX to generate double points (xi, yi) in the box (0,0)-(4,4). You will need to include the header <stdlib.h> in order to use rand(). For example, the statement 10 * rand() / RAND_MAX will generate a floating point between 0 and 10 (do not forget to properly cast integers as doubles or all you will get will be zero!) The function rand() will always draw from the exact same random sequence every time you run your program (it is not a true random number, but a pseudo-random number). In order to add some “spice” to this sequence you may want to initialize rand() by calling the function srand ( time(NULL) ); also provided in <stdlib.h>. The above initialization will use the current time to set the random generator and you will get a different answer every time you run your program. You must include the header <time.h> in order to use time.

 

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